Mathematics and Statistics Seminar Series - Laura D'Angelo (Università degli studi di Milano Bicocca) | Dipartimento di Scienze Economiche

Mathematics and Statistics Seminar Series - Laura D'Angelo (Università degli studi di Milano Bicocca)

4 April 2023 12:30 to 13:30
Luogo: 
Sala Bertocchi, via dei Caniana | Microsoft Teams
Seminari di dipartimento
Persona di riferimento: 
Tommaso Lando (tommaso.lando@unibg.it)
Strutture interne organizzatrici: 
Dipartimento di Scienze Economiche

"Analysis of calcium imaging data via finite nested mixture models"

 

Recent advancements in miniaturized fluorescence microscopy have made it possible to investigate neuronal responses to external stimuli in awake behaving animals through the analysis of intracellular calcium signals. We propose a nested Bayesian finite mixture specification that allows estimating the underlying spiking activity and, simultaneously, reconstructing the distributions of the calcium transient spikes' amplitudes under different experimental conditions. The proposed model leverages two nested layers of random discrete mixture priors to borrow information between experiments and discover similarities in the distributional patterns of neuronal responses to different stimuli. To provide theoretical support to the introduced formulation, we investigate the correlation structure and the partial EPPF of the proposed prior, and we compare it with other well-known nonparametric nested priors.

 

The link Teams is available here.